Small points and the Bogomolov conjecture

DOI10.1016/j.exmath.2006.06.001zbMath1151.14020OpenAlexW2098874180WikidataQ122986850 ScholiaQ122986850MaRDI QIDQ2371313

Răzvan Liţcanu

Publication date: 4 July 2007

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2006.06.001

zbMATH Keywords

heightArakelov theoryBogomolov conjecture

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Coverings of curves, fundamental group (14H30) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Cites Work

• Admissible pairing on a curve
• Weierstrass points on arithmetic surfaces
• Small points on constant arithmetic surfaces
• Diophantine approximation on abelian varieties
• Courbes sur une variété abélienne et points de torsion
• Small points and Arakelov theory
• Equidistribution of small points on abelian varieties
• Positivity and discretion of algebraic points of curves
• Numerically positive line bundles on an Arakelov variety
• Mordell-Lang plus Bogomolov
• Equidistribution of small points
• Limit distribution of small points on algebraic tori
• Distribution of almost division points
• A generalization of conjectures of Bogomolov and Lang over finitely generated fields
• Minorations des hauteurs normalisées des sous-variétés de variétés abeliennes. II. (Lower bounds for normalized heights of subvarieties of Abelian varieties. II.)
• Arithmetic Hilbert-Samuel theorem
• On alternative heights. III
• Arithmetic height functions over finitely generated fields
• Positive line bundles on arithmetic surfaces
• Points de petite hauteur sur les variétés semi-abéliennes
• POINTS OF FINITE ORDER ON AN ABELIAN VARIETY
• Heights of Projective Varieties and Positive Green Forms
• Approximation diophantienne sur les variétés semi-abéliennes
• MINORATION DE LA HAUTEUR NORMALISE DANS UN TORE
• Sous-variétés de torsion des variétés semi-abéliennes
• The canonical arithmetic height of subvarieties of an abelian variety over a finetely generated field
• Positive Line Bundles on Arithmetic Varieties
• Points Entiers, Points de Torsion et Amplitude Arithmetique
• Mesures et équidistribution sur les espaces de Berkovich
• Counting in a conjecture of Lang
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